Data Handling (Graphs, Pie Charts, Histograms) Quiz - ICSE Class 8 Mathematics

Free practice quiz: Data Handling (Graphs, Pie Charts, Histograms) (ICSE Class 8 Mathematics). 67 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

Sample questions

1. A pie chart represents a whole circle divided into sectors. If the total angle of the circle is 360 degrees, and a particular sector represents 25% of the data, what is the angle of that sector?

   1. 72 degrees
   2. 90 degrees
   3. 108 degrees
   4. 144 degrees
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   Answer: B. 90 degrees

   25% of the total 360 degrees is (25/100) * 360 = 0.25 * 360 = 90 degrees. Thus, the angle of the sector representing 25% of the data is 90 degrees.

2. A pie chart shows the sources of energy for a country. If the sector for 'Coal' is 150 degrees and the sector for 'Oil' is 90 degrees, what percentage of the total energy comes from Coal and Oil combined?

   1. 50%
   2. 60%
   3. 66.7%
   4. 75%
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   Answer: C. 66.7%

   The combined angle for Coal and Oil is 150 degrees + 90 degrees = 240 degrees. The percentage of total energy from these two sources is (240/360) * 100% = (2/3) * 100% = 66.67%, which is approximately 66.7%.

3. Consider a histogram showing the number of students who passed a test in different subjects. If the bars are of unequal width, the frequency of a subject is proportional to the:

   1. Height of the bar
   2. Width of the bar
   3. Area of the bar
   4. Sum of height and width
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   Answer: C. Area of the bar

   When class intervals (widths of bars) are unequal in a histogram, the frequency is represented by the area of the bar, not just the height. The area of a bar is calculated as Height × Width. Therefore, if the area represents frequency, and width varies, the height is adjusted (frequency density) such that Area = Frequency.

4. In a histogram, the vertical axis typically represents the:

   1. Class interval
   2. Frequency
   3. Cumulative frequency
   4. Mean of the interval
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   Answer: B. Frequency

   In a standard histogram, the vertical axis (y-axis) represents the frequency (or frequency density) of the data falling within each class interval shown on the horizontal axis (x-axis).

5. In a pie chart, if one sector has a central angle of 36 degrees, what percentage of the total does this sector represent?

   1. 5%
   2. 10%
   3. 15%
   4. 20%
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   Answer: B. 10%

   To find the percentage, divide the sector's angle by the total degrees in a circle and multiply by 100: (36 degrees / 360 degrees) * 100% = (1/10) * 100% = 10%.

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